Artifact ID: UUON_000002

• Generated: 2026-05-14T13:31:52.632Z
• Engine: queueBIT v1.0.0

Classification

• Primary: Cubic Menger Sponge
• Topology: Pure Menger IFS
• Symmetry: O_h (cubic)
• Aesthetic: Geometric Minimalism
• Generation Type: Deterministic Recursive System
• Artifact Category: Computational Geometry / Recursive Cubic Lattice Structure

Mesh Statistics

• Triangles: 667,107
• Vertices: 353,488
• Edges: 1,001,330
• Surface Area: 96.0216
• Volume: 7.0359
• Void Ratio: 21.8%
• Manifold: Open (11,002 boundary edges)
• Complexity: 4.9/10
• Geometry Density: Moderate to High

Scale & Units

• Coordinate system: Y-up, right-handed
• Internal fractal units are normalized and can be scaled according to rendering, fabrication, or simulation requirements.

Material

• Standard PBR material factors embedded in GLB/GLTF: baseColorFactor, metallicFactor, roughnessFactor, emissiveFactor
• OBJ Phong approximation available in model.mtl
• KHR_materials_iridescence extension included where supported

Package Contents (visit license section for more details

• model.glb - Solid PBR mesh (Blender, Unity, Unreal, Rhino)
• model.obj - Universal mesh with normals (Maya, Cinema4D, Rhino, legacy tools)
• model.mtl - Material library for model.obj (auto-loaded by most DCC tools)
• wireframe.gltf - Edge wireframe (MeshLab, Houdini)
• preview.png - Raymarched preview render / marketplace thumbnail
• metadata.json - Mesh metadata and classification
• analysis.json - Deep mesh analysis (genus, topology, printability)
• provenance.json - SHA-256 provenance fingerprint and authenticity record
• export_history.json - Running log of all exports from this session
• README.txt - This file
• license.txt - Rarity assessment, license terms, and algorithm disclosure
• Tags: fold:None, menger-iter:4, compact, ifs, fractal, procedural

Fabrication

• Suitability: FDM/SLA/SLS compatible - dense structure

Computational Characteristics

• Recursive
• Parametric
• Procedural
• Algorithmic
• Deterministic
• Cubic
• Cellular
• Hierarchical
• Fractal
• Structural
• Symmetrical
• Multiscale

Structural Behaviors

• Recursive cubic organization
• Distributed lattice pathways
• Hierarchical spatial repetition
• Surface-area optimized geometry
• Cellular framework relationships
• Self-similar geometric scaling
• Nested structural organization
• Recursive spatial distribution

Observed Properties

• Non-repeating geometry
• Deterministic reproduction
• Scalable structural complexity
• Reproducible generation states
• Compact mathematical representation
• Procedural workflow compatibility
• Distributed internal organization
• Dense visible structure
• This geometry is generated through recursive subdivision and spatial transformation rather than manual polygon modeling.
• The recursive Menger hierarchy preserves self-similar organization across multiple scales while maintaining coherent cubic relationships throughout the structure.
• The moderate void ratio of 21.8% creates a balanced internal organization between occupied geometry and open regions, preserving structural continuity while maintaining recursive pathways.
• The relationship between surface area and occupied volume creates a dense visible structure with nested spatial organization across multiple scales.

Potential Applications

Architecture & Structural Design

• Computational facade studies
• Recursive lattice systems
• Cellular structural concepts
• Space-frame exploration
• Geometric optimization studies
• Structural visualization

Advanced Computational Systems

• Recursive organizational studies
• Graph structure visualization
• Distributed network concepts
• Spatial hierarchy research
• Computational lattice systems

Visual Effects & Rendering

• Procedural environments
• Cinematic VFX
• Mathematical visualization
• Computational sculpture
• Digital installations
• Interactive visualization
• Science fiction environments

Academic & Scientific Context

• Fractal geometry
• Recursive mathematics
• Computational topology
• Complex systems research
• Spatial organization studies
• Computational geometry

Generative Art & Digital Collectibles

• Algorithmic artwork
• Procedural sculpture
• Computational installations
• Collectible digital artifacts

Discovery Terms

• menger-sponge
• recursive-lattice
• cubic-geometry
• fractal-structure
• computational-design
• procedural-generation
• recursive-geometry
• algorithmic-art
• mathematical-art
• computational-geometry
• parametric-design
• procedural-modeling
• scientific-visualization
• complex-systems
• cellular-structure
• generative-art
• digital-collectibles
• computational-sculpture
• space-frame
• recursive-systems